Finding the Fourth Proportional to 1,648.98, 2,471.85 and 675.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.98 : 2,471.85 = 675.77 : x
2. Step 2: Convert to fraction form
   1,648.98/2,471.85 = 675.77/x
3. Step 3: Cross multiply
   1,648.98x = 2,471.85 × 675.77
4. Step 4: Simplify right side
   1,648.98x = 1,670,389.72
5. Step 5: Solve for x
   x = 1,670,389.72/1,648.98
6. Step 6: Final answer
   x = 1,012.98